The sliding down of a heavy work machine causes serious accidents in the construction industry. The factor of sliding down is the slip of it. Conventional studies of preventing the slip have been studied for four-wheeled vehicles with the driven tires. However, these conventional methods often used rotational speed of the driven tires. Generally, an electric crawler vehicle does not have the driven tires. Therefore, we propose the slipping suppression control without the rotational speed of the driven tires. The proposed method uses only an electric current of drive motors for judgement of the slipping. We have tested in order to confirm the effectiveness of the proposed method in low μ, road. Finally, we show the effectiveness of the proposed method from experimental results.